Coupling of Stochastic Electromagnetic Fields to a Transmission Line in a Reverberation Chamber

Magdowski, Mathias; Tkachenko, S.; Vick, Ralf

doi:10.1109/temc.2010.2097267

Cited by 71 publications

(28 citation statements)

References 9 publications

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“…The estimator (7) has been shown by [18], as equivalent to the maximum likelihood estimator for probabilities. Since the estimators of Monte Carlo are convergent [16], we obtain…”

Section: ) Quantile Estimation By Control Variatementioning

confidence: 99%

The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables

Larbi

Besnier

Pecqueux

2016

IEEE Trans. Electromagn. Compat.

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International audienceThis paper deals with electromagnetic compatibility simulations at early design stage of equipment or systems development. In this context, expensive simulations based on rigorous modeling are performed, including numerous uncertain variables. The most important configurations are those associated to extreme values of the observed quantity. In this paper we introduce a variance reduction technique to accelerate the estimation of an extreme quantile of theoutput distribution. The approach is based on using a simple model (at a low computational cost) to identify relevant realizations of uncertain variables in strata partitioning the output space of the model. Applicationof the method is detailed on a rather simple cable system in order to estimate an extreme quantile level ofan interfering current. We show that extreme current values are obtained at a reduced computational costcompared to a standard empirical quantile estimation

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“…The estimator (7) has been shown by [18], as equivalent to the maximum likelihood estimator for probabilities. Since the estimators of Monte Carlo are convergent [16], we obtain…”

Section: ) Quantile Estimation By Control Variatementioning

confidence: 99%

The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables

Larbi

Besnier

Pecqueux

2016

IEEE Trans. Electromagn. Compat.

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“…The authors of [4] consider stochastically located small antennas to create stochastic fields in a MSC. Other papers (see, e.g., [5][6][7]) are devoted to the investigation of coupling of a random electromagnetic field to deterministic transmission lines inside stochastic cavities (MSC).…”

Section: Introductionmentioning

confidence: 99%

Propagation of Current Waves along Randomly Located Multiconductor Transmission Lines inside a Rectangular Resonator

Tkachenko

Nitsch

Raya

et al. 2018

Mathematical Problems in Engineering

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Propagation of current waves along randomly located multiconductor transmission lines inside a rectangular resonator is investigated. Two different line configurations are considered: parallel wires and perpendicular lines. The analytical solutions for both types of lines are obtained, using the method of symmetrical lines inside the resonator. Computer realization of this method allows it to obtain a fast solution. Therefore, it becomes possible to investigate statistical properties of induced currents. It could be shown that the mutual coupling of the currents in the wires is strong when the frequency is near resonances in the system "cavity and wires" and relatively small far from these resonances. Stochastization leads to a broadening of the resonance curves.

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“…1 It becomes a rather natural approach when dealing with physical phenomena that depends on numerous uncertain variables conditioning the interference levels. The development of these statistical techniques in the EMC area allowed for example to estimate the expectation and the standard deviation of an interest response depending on various random variables [1]- [3].…”

Section: Introductionmentioning

confidence: 99%

Probability of EMC Failure and Sensitivity Analysis With Regard to Uncertain Variables by Reliability Methods

Larbi

Besnier

Pecqueux

2015

IEEE Trans. Electromagn. Compat.

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International audienceIn this study, we use a statistical approach to treat a risk analysis of an EMC default. This approach relies upon reliability methods from probabilistic engineering mechanics. An estimation of a probability of failure (i.e., probability that the induced current by crosstalk causes a malfunction of a device connected at the end of a cable) and a sensitivity analysis of this probability of failure is carried out by taking into account uncertainties on input parameters. The reliability methods introduced in this study allow to compute a probability of failure with a relative low computational cost compared to Monte Carlo simulation

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Coupling of Stochastic Electromagnetic Fields to a Transmission Line in a Reverberation Chamber

Cited by 71 publications

References 9 publications

The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables

The Adaptive Controlled Stratification Method Applied to the Determination of Extreme Interference Levels in EMC Modeling With Uncertain Input Variables

Propagation of Current Waves along Randomly Located Multiconductor Transmission Lines inside a Rectangular Resonator

Probability of EMC Failure and Sensitivity Analysis With Regard to Uncertain Variables by Reliability Methods

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